Quantum mechanics in phase space

J.G. Krüger and A. Poffyn

Physica A: Statistical Mechanics and its Applications, 1978, vol. 91, issue 1, 99-112

Abstract: The correspondence of a linear canonical transformation in phase space with a linear unitary transformation in the Hilbert space L2(R) yields in a unique way the Wigner kernel. With this kernel function the unitary transformations corresponding to finite linear transformations are calculated in different representations. The results are applied to propagators derived from quadratic hamiltonians.

Date: 1978
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:91:y:1978:i:1:p:99-112

DOI: 10.1016/0378-4371(78)90060-2

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